Question

find the angle of elevation the sun when the shadow of a pole h m high is √3h m long
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Answer 1

Answer:

30

Step-by-step explanation:

Find the angle of elevation of the sun when the shadow of a pole h metres high is √3 h metres long. Therefore, the angle of elevation is 30°.

Answer 2

Answer:

Angle of Elevation is 30°

Step-by-step Explanation :

Given : Height pole = h meter

Height of shadow of pole = √3h

To find : angle of elevation = ?

( Please see the attached document for diagram )

In ∆ABC,

AC = pole of height 'h' m

AB = Shadow of pole = √3h m

∠ABC = Angle of Elevation = θ

So,

tanθ = AC/AB

= h/√3h

tanθ = 1/√3

∴ θ = 30° ---------- ( since tan 30° = 1/√3 )